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Chiral one-dimensional Floquet topological insulators beyond the rotating wave approximation
Journal
Physical Review B
Volume
100
Number
4
Pages / Article-Number
041103
Abstract
We study one-dimensional Floquet topological insulators with chiral symmetry going beyond the standard rotating wave approximation. The occurrence of many anticrossings between Floquet replicas leads to a dramatic extension of phase diagram regions with stable topological edge states (TESs). We present an explicit construction of all TESs in terms of a truncated Floquet Hamiltonian in frequency space, prove the bulk-boundary correspondence, and analyze the stability of the TESs in terms of their localization lengths. We propose experimental tests of our predictions in curved bilayer graphene.